3-(x+4)=2(x-5)

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Solution for 3-(x+4)=2(x-5) equation:


Simplifying
3 + -1(x + 4) = 2(x + -5)

Reorder the terms:
3 + -1(4 + x) = 2(x + -5)
3 + (4 * -1 + x * -1) = 2(x + -5)
3 + (-4 + -1x) = 2(x + -5)

Combine like terms: 3 + -4 = -1
-1 + -1x = 2(x + -5)

Reorder the terms:
-1 + -1x = 2(-5 + x)
-1 + -1x = (-5 * 2 + x * 2)
-1 + -1x = (-10 + 2x)

Solving
-1 + -1x = -10 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-1 + -1x + -2x = -10 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-1 + -3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + -3x = -10 + 0
-1 + -3x = -10

Add '1' to each side of the equation.
-1 + 1 + -3x = -10 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -10 + 1
-3x = -10 + 1

Combine like terms: -10 + 1 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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